We could try to attain improved performance by turning to an open method. Because
Eq. (8.21) is relatively straightforward to differentiate, the Newton-Raphson method is
a good candidate. For example, using an initial guess at the lower end of the range
(x0 = 0.008), Newton-Raphson converges quickly to 0.0289678 with an approximate error
of 6.87 × 10–6% in only 6 iterations. However, when the initial guess is set at the upper end
of the range (x0 = 0.08), the routine diverge